Pith Number

pith:JY3TPKUI

pith:2011:JY3TPKUIRZAKZ7ZPPHMVLUSREE

not attested not anchored not stored refs pending

Hybrid bounds for automorphic forms on ellipsoids over number fields

Philippe Michel, Valentin Blomer

arxiv:1110.4526 v2 · 2011-10-20 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JY3TPKUIRZAKZ7ZPPHMVLUSREE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:35:52.852403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e3737aa888e40acff2f79d955d251213bf87d1337639bc99b719bfd9c364342

Aliases

arxiv: 1110.4526 · arxiv_version: 1110.4526v2 · doi: 10.48550/arxiv.1110.4526 · pith_short_12: JY3TPKUIRZAK · pith_short_16: JY3TPKUIRZAKZ7ZP · pith_short_8: JY3TPKUI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JY3TPKUIRZAKZ7ZPPHMVLUSREE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4e3737aa888e40acff2f79d955d251213bf87d1337639bc99b719bfd9c364342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639799d089719acbedef4767e1b912d96093309405167ae7d91d7d4c06a5a369",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-20T13:36:57Z",
    "title_canon_sha256": "5bc8d82cd671693703324d1b896cd9c40e022f665fbdd9a5424916b774424290"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4526",
    "kind": "arxiv",
    "version": 2
  }
}